One to one functions g and h are defined as follows.

g={ (-9,7), (-1,-6), (1,4), (6,-1) }

h (x) = 2x-9

Find the following of:

1.) g^-1 (-1) = ?

2.) h^-1 (x) = ?

3.) (h o h^-1) (1) = ?

Question

Mathematics

Ellis Ferrell

22 April, 05:32

One to one functions g and h are defined as follows.

g={ (-9,7), (-1,-6), (1,4), (6,-1) }

h (x) = 2x-9

Find the following of:

1.) g^-1 (-1) = ?

2.) h^-1 (x) = ?

3.) (h o h^-1) (1) = ?

+4

Answers (1)

Know the Answer?

Karina Blackwell · Answer 1

1. g^-1 ( - 1) = 6

2. h^-1 (x) = ?

y = 2 x - 9

- 2 x = - y - 9 / : (-2)

x = (y + 9) / 2

h^-1 (x) = (x + 9) / 2

3. (h ° h^-1) (1) = ?

h (h^-1 (1)) = h ((1+9) / 2) = h (5) = 2· 5 - 9 = 10 - 9 = 1

One to one functions g and h are defined as follows.g={ (-9,7), (-1,-6), (1,4), (6,-1) }h (x) = 2x-9Find the following of:1.) g^-1 (-1) = ?2.) h^-1 (x) = ?3.) (h o h^-1) (1) = ?

One to one functions g and h are defined as follows.

g={ (-9,7), (-1,-6), (1,4), (6,-1) }

h (x) = 2x-9

Find the following of:

1.) g^-1 (-1) = ?

2.) h^-1 (x) = ?

3.) (h o h^-1) (1) = ?